Samarkand, Ulugh Beg madrasah
data168/S115
(Click on image for high-quality PDF version)
Geometry
- The symmetry group of the tiling is *442 (p4m).
- All the internal angles of the constituent polygons are a multiple of 7.5°.
- Contains one regular 8-pointed star polygon with vertex angle of 90°.
- Contains one regular 12-pointed star polygon with vertex angle of 90°.
- There are 9 non-regular reflective tiles.
- The tiling satisfies the interlace condition and has five finite interlaces and no infinite interlace with straight cross-overs.
- The tiling is edge-to-edge.
- As drawn, contains about 566 polygons.
References
Publications referenced:
- Figure 62, bottom left corner (Ulugh Beg madrasah, Samarkand, Central Asia) of Derek Hill. Islamic architecture and its decoration, A.D. 800-1500..., Faber and Faber, Pressmark 35.C.183, 1964. ISBN 050051032. [hill] {With an introductory text by Oleg Grabar}(1420AD, 823AH)
- Fig 11.7c of Brian Wichmann and David Wade. Islamic Design: a Mathematical Approach, Springer, 2017. ISBN 978-3-319-69. [ww] {}
- Slide 115, Photo from Donald Bell (Ulugh Beg madrasah, Samarkand, Central Asia) of Not specific. Personal Communication, Information sent to the author, 21c. [pc]
v48